Given any string of N (≥5) characters, you are asked to form the characters into the shape of U. For example, helloworld can be printed as:

h  de  ll  rlowo

That is, the characters must be printed in the original order, starting top-down from the left vertical line with n​1​​ characters, then left to right along the bottom line with n​2​​ characters, and finally bottom-up along the vertical line with n​3​​ characters. And more, we would like U to be as squared as possible -- that is, it must be satisfied that n​1​​=n​3​​=max { k | k≤n​2​​ for all 3≤n​2​​≤N } with n​1​​+n​2​​+n​3​​−2=N.

Input Specification:

Each input file contains one test case. Each case contains one string with no less than 5 and no more than 80 characters in a line. The string contains no white space.

Output Specification:

For each test case, print the input string in the shape of U as specified in the description.

Sample Input:

helloworld!

Sample Output:

h   !e   dl   llowor

1 package pattest; 2  3 import java.io.BufferedReader; 4 import java.io.IOException; 5 import java.io.InputStreamReader; 6  7 /** 8  * @Auther: Xingzheng Wang 9  * @Date: 2019/2/21 22:2610  * @Description: pattest11  * @Version: 1.012  */13 public class PAT1031 {14     public static void main(String[] args) throws IOException {15         BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));16         char[] ch = reader.readLine().toCharArray();17         int length = ch.length;18 19         int n1 = (length + 2) / 3;20         int n2 = length - 2 * n1 + 2;21 22         for (int i = 0; i < n1 - 1; i++) {23             System.out.print(ch[i]);24             for (int j = 0; j < n2 - 2; j++) {25                 System.out.print(" ");26             }27             System.out.println(ch[length - 1 - i]);28         }29         for (int i = 0; i < n2; i++) {30             System.out.print(ch[n1 - 1 + i]);31         }32     }33 }